SAS Congruence Theorem

Front

What does SAS stand for in the SAS Congruence Theorem?

Back

SAS stands for Side-Angle-Side, which is a criterion for triangle congruence.

Front

What is the SAS Congruence Theorem?

Back

The SAS Congruence Theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is required to prove two triangles are congruent by SAS?

Back

To prove two triangles are congruent by SAS, you need to show that two sides of one triangle are equal to two sides of another triangle, and the angle between those sides is also equal.

Front

If triangle ABC has AB = 5, AC = 7, and angle A = 60°, and triangle DEF has DE = 5, DF = 7, and angle D = 60°, are the triangles congruent by SAS?

Back

Yes, triangle ABC is congruent to triangle DEF by SAS.

Front

If triangle XYZ has XY = 4, XZ = 6, and angle X = 30°, and triangle PQR has PQ = 4, PR = 6, and angle P = 45°, are the triangles congruent by SAS?

Back

No, triangle XYZ is not congruent to triangle PQR by SAS because the included angles are not equal.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

How can you determine if two triangles are not congruent by SAS?

Back

If either the lengths of the two sides or the included angle are not equal, the triangles cannot be congruent by SAS.

Front

What is the Definition of Midpoint?

Back

The midpoint of a segment is the point that divides the segment into two equal parts.